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Finding the Fourth Proportional to 345,873.36, 477,300.96 and 194,970.36

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Solution

The fourth proportional to 345,873.36, 477,300.96 and 194,970.36 is: 269,056.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,873.36 : 477,300.96 = 194,970.36 : x
  2. Step 2: Convert to fraction form
    345,873.36/477,300.96 = 194,970.36/x
  3. Step 3: Cross multiply
    345,873.36x = 477,300.96 × 194,970.36
  4. Step 4: Simplify right side
    345,873.36x = 93,059,539,999.55
  5. Step 5: Solve for x
    x = 93,059,539,999.55/345,873.36
  6. Step 6: Final answer
    x = 269,056.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.